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Finding the Fourth Proportional to 3,808.86, 5,256.63 and 2,237.82

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Solution

The fourth proportional to 3,808.86, 5,256.63 and 2,237.82 is: 3,088.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.86 : 5,256.63 = 2,237.82 : x
  2. Step 2: Convert to fraction form
    3,808.86/5,256.63 = 2,237.82/x
  3. Step 3: Cross multiply
    3,808.86x = 5,256.63 × 2,237.82
  4. Step 4: Simplify right side
    3,808.86x = 11,763,391.75
  5. Step 5: Solve for x
    x = 11,763,391.75/3,808.86
  6. Step 6: Final answer
    x = 3,088.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.